| Mary Somerville - 1846 - 496 pages
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three **satellites. It appears from observation that the mean...three times that of the second, plus twice that of the** thin], is always equal to two right angles. It is proved by theory, that if these relations had only... | |
| Thomas Dick - 1799 - 392 pages
...are performed exactly in the same number of days. It has been found by La Place that " the epoch (or **mean longitude) of the first satellite, minus three times that of the second, plus** two times that of the third, is exactly equal to a semicircle, or 180 degrees." From this it follows,... | |
| François Arago - 1848 - 108 pages
...Jupiter, the Earth and the Sun, reader the existence of pha»e« to any otuervable extent impossible. **times that of the second, plus twice that of the third, is always equal to two right angles.** Herschel, on attentively examining these satellites through the telescope, perceived that the intensity... | |
| Mary Somerville - 1849 - 568 pages
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three **satellites. It appears from observation that the mean...they are liable. They extend to the synodic motions** (K. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence... | |
| John Drew - 1853 - 386 pages
...which latter is about half that of the revolution of the third. Again, the mean longitude of the first, **minus three times that of the second, plus twice that of the third, is always equal to** 180° : hence it results, that when the first satellite is eclipsed, the other two will always dispense... | |
| Thomas Dick - 1854 - 360 pages
...performed exactly in the same number of days. It has been found, by La Place, that "the epoch (ot.mean **longitude) of the first satellite, minus three times that of the second, plus** two times that of the third, is exactly equal to a semicircle, or 180 degrees." From this it follows,... | |
| James Smith (author of the Panorama of science and art.) - 1859 - 964 pages
...three times the mean motion of the second. And the mean sydereal or synodical longitude of the first, **minus three times that of the second, plus twice that of the** thin!,, is always equal to two right angles. When the satellites fall into the shadow of the primary,... | |
| 1860 - 982 pages
...these three bodies approached very near to the relation which renders the mean motion of the first, **minus three times that of the second, plus twice that of the third,** equal to nothing. Then their mutual attraction, rendered this ratio rigorously exact, and it has moreover... | |
| 1860 - 504 pages
...attraction, rendered this ratio rigorously exact, and it has moreover made the mean longitude of the first, **minus three times that of the second, plus twice that of the third,** equal to a semi-circumference. At the same time, it gave rise to a periodic inequality, which depends... | |
| Royal Society of Tasmania - 1864 - 494 pages
...the time of that of the second ; the second half that of the third ; the mean longitude of the first, **minus three times that of the second, plus twice that of the third, is always equal to** 180°. Or the angular velocity of the first, added to twice that of the third, is equal to three times... | |
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